Issolvi -j33965/325-j33965

$$\frac{ -j33965 }{ 325-j33965 }$$

Iddifferenzja w.r.t. j_33965

$$-\frac{325}{\left(j_{33965}-325\right)^{2}}$$

Passi għall-Użu ta' Regola Derivattiva għal Kwozjent

Għal kwalunkwe żewġ funzjonijiet differenzjabbli, id-derivattiv tal-kwozjent ta' żewġ funzjonijiet huwa d-denominatur immultiplikat bid-derivattiv tan-numeratur minus in-numeratur immultiplikat bid-derivattiv tad-denominatur, kollha diviżi bid-denominatur kwadrat.

$$\frac{\left(-j_{33965}^{1}+325\right)\frac{\mathrm{d}}{\mathrm{d}j_{33965}}(-j_{33965}^{1})-\left(-j_{33965}^{1}\frac{\mathrm{d}}{\mathrm{d}j_{33965}}(-j_{33965}^{1}+325)\right)}{\left(-j_{33965}^{1}+325\right)^{2}}$$

Id-derivattiva ta’ polynomial hija s-somma tad-derivattivi tat-termini tagħha. Id-derivattiva ta’ terminu kostanti hija 0. Id-derivattiva ta’ ax^{n} hijanax^{n-1}.

$$\frac{\left(-j_{33965}^{1}+325\right)\left(-1\right)j_{33965}^{1-1}-\left(-j_{33965}^{1}\left(-1\right)j_{33965}^{1-1}\right)}{\left(-j_{33965}^{1}+325\right)^{2}}$$

Agħmel l-aritmetika.

$$\frac{\left(-j_{33965}^{1}+325\right)\left(-1\right)j_{33965}^{0}-\left(-j_{33965}^{1}\left(-1\right)j_{33965}^{0}\right)}{\left(-j_{33965}^{1}+325\right)^{2}}$$

Espandi bl-użu ta' propjetà distributtiva.

$$\frac{-j_{33965}^{1}\left(-1\right)j_{33965}^{0}+325\left(-1\right)j_{33965}^{0}-\left(-j_{33965}^{1}\left(-1\right)j_{33965}^{0}\right)}{\left(-j_{33965}^{1}+325\right)^{2}}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom.

$$\frac{-\left(-1\right)j_{33965}^{1}+325\left(-1\right)j_{33965}^{0}-\left(-\left(-1\right)j_{33965}^{1}\right)}{\left(-j_{33965}^{1}+325\right)^{2}}$$

Agħmel l-aritmetika.

$$\frac{j_{33965}^{1}-325j_{33965}^{0}-j_{33965}^{1}}{\left(-j_{33965}^{1}+325\right)^{2}}$$

Ikkombina termini simili.

$$\frac{\left(1-1\right)j_{33965}^{1}-325j_{33965}^{0}}{\left(-j_{33965}^{1}+325\right)^{2}}$$

Naqqas 1 minn 1.

$$\frac{-325j_{33965}^{0}}{\left(-j_{33965}^{1}+325\right)^{2}}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$\frac{-325j_{33965}^{0}}{\left(-j_{33965}+325\right)^{2}}$$

Għal kwalunkwe terminu t ħlief 0, t^{0}=1.

$$\frac{-325}{\left(-j_{33965}+325\right)^{2}}$$

Evalwa

$$-\frac{j_{33965}}{325-j_{33965}}$$